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Finding the Fourth Proportional to 13,237.44, 18,264.16 and 8,527.84

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Solution

The fourth proportional to 13,237.44, 18,264.16 and 8,527.84 is: 11,766.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,237.44 : 18,264.16 = 8,527.84 : x
  2. Step 2: Convert to fraction form
    13,237.44/18,264.16 = 8,527.84/x
  3. Step 3: Cross multiply
    13,237.44x = 18,264.16 × 8,527.84
  4. Step 4: Simplify right side
    13,237.44x = 155,753,834.21
  5. Step 5: Solve for x
    x = 155,753,834.21/13,237.44
  6. Step 6: Final answer
    x = 11,766.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.